Details

sample35.0ms

Algorithm

intervals

Results

25.0ms

324×

body

valid

simplify55.0ms

Calls

1 calls:

Slowest

55.0ms

(fabs (- (/ (+ x 4) y) (* (/ x y) z)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize16.0ms

Local error

Found 3 expressions with local error:

2.5b	(* (/ x y) z)
0.0b	(/ (+ x 4) y)
0.0b	(- (/ (+ x 4) y) (* (/ x y) z))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`add-log-exp`
4×	`fma-neg` `associate-l` `prod-diff` `div-inv`
3×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `associate-l/` `add-exp-log` `insert-posit16` `log1p-expm1-u` `associate-/l`
2×	`associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `*-commutative` `frac-sub` `flip-+` `flip--` `sub-div`

Calls

3 calls:

Slowest

11.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
3.0ms	(/ (+ x 4) y)
3.0ms	(* (/ x y) z)

series80.0ms

Calls

3 calls:

Slowest

42.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
23.0ms	(/ (+ x 4) y)
15.0ms	(* (/ x y) z)

simplify1.6s

Calls

31 calls:

Slowest

243.0ms	(- (* (+ x 4) y) (* y (* x z)))
178.0ms	(fma (+ x 4) (/ 1 y) (- (* z (/ x y))))
149.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
124.0ms	(fma 1 (/ (+ x 4) y) (- (* z (/ x y))))
122.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))

prune739.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

4.2b	(* x (* (/ 1 y) z))
0.2b	(* (/ 1 y) z)
0.0b	(/ (+ x 4) y)
0.0b	(- (/ (+ x 4) y) (* x (* (/ 1 y) z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`add-log-exp`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `fma-neg` `associate-l` `prod-diff` `associate-*l/` `add-exp-log` `insert-posit16` `log1p-expm1-u` `div-inv`
3×	`associate-r/` `associate-/l`
2×	`*-commutative` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `associate-r` `frac-sub` `flip-+` `flip--` `sub-div`

Calls

4 calls:

Slowest

10.0ms	(- (/ (+ x 4) y) (* x (* (/ 1 y) z)))
3.0ms	(* x (* (/ 1 y) z))
3.0ms	(/ (+ x 4) y)
3.0ms	(* (/ 1 y) z)

series87.0ms

Calls

4 calls:

Slowest

32.0ms	(- (/ (+ x 4) y) (* x (* (/ 1 y) z)))
24.0ms	(* x (* (/ 1 y) z))
21.0ms	(/ (+ x 4) y)
10.0ms	(* (/ 1 y) z)

simplify3.5s

Calls

34 calls:

Slowest

332.0ms	(fma 1 (/ (+ x 4) y) (- (* (* (/ 1 y) z) x)))
325.0ms	(fma (- (* (/ 1 y) z)) x (* (* (/ 1 y) z) x))
283.0ms	(fma (- (* (/ 1 y) z)) x (* (* (/ 1 y) z) x))
282.0ms	(fma (* (cbrt (/ (+ x 4) y)) (cbrt (/ (+ x 4) y))) (cbrt (/ (+ x 4) y)) (- (* (* (/ 1 y) z) x)))
266.0ms	(fma (- (* (/ 1 y) z)) x (* (* (/ 1 y) z) x))

prune849.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

2.5b	(* (/ x y) z)
0.0b	(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
0.0b	(+ (/ x y) (/ 4 y))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
10×	`add-log-exp`
8×	`div-inv`
7×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`fma-neg` `prod-diff`
4×	`fma-def` `associate-l` `associate-*l/`
3×	`expm1-log1p-u` `pow1` `distribute-rgt-out` `add-cbrt-cube` `add-exp-log` `frac-sub` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
2×	`sum-log` `flip3-+` `diff-log` `frac-add` `flip-+`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `*-commutative` `flip--`

Calls

3 calls:

Slowest

35.0ms	(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
8.0ms	(+ (/ x y) (/ 4 y))
5.0ms	(* (/ x y) z)

series65.0ms

Calls

3 calls:

Slowest

34.0ms	(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
16.0ms	(+ (/ x y) (/ 4 y))
15.0ms	(* (/ x y) z)

simplify3.0s

Calls

42 calls:

Slowest

365.0ms	(- (* (- (* (/ x y) (/ x y)) (* (/ 4 y) (/ 4 y))) y) (* (- (/ x y) (/ 4 y)) (* x z)))
320.0ms	(- (* (+ (* x y) (* y 4)) y) (* (* y y) (* x z)))
210.0ms	(fma 1 (+ (/ x y) (/ 4 y)) (- (* z (/ x y))))
195.0ms	(* (+ (* (/ x y) (/ x y)) (- (* (/ 4 y) (/ 4 y)) (* (/ x y) (/ 4 y)))) y)
187.0ms	(fma (/ 1 y) (+ x 4) (- (* z (/ x y))))

prune736.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

2.5b	(* (/ x y) z)
0.1b	(fma (/ 1 y) (+ x 4) (- (* (/ x y) z)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-l`
3×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-l/` `-commutative` `fma-udef` `div-inv`

Calls

2 calls:

Slowest

3.0ms	(* (/ x y) z)
0.0ms	(fma (/ 1 y) (+ x 4) (- (* (/ x y) z)))

series59.0ms

Calls

2 calls:

Slowest

40.0ms	(fma (/ 1 y) (+ x 4) (- (* (/ x y) z)))
18.0ms	(* (/ x y) z)

simplify449.0ms

Calls

9 calls:

Slowest

153.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
119.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
109.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
19.0ms	(/ (* x z) y)
17.0ms	(/ (* x z) y)

prune367.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes181.0ms

Accuracy

95.5% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.3b

bsearch132.0ms

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.5s

10018×

body

valid